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Finding the Fourth Proportional to 10,466.32, 14,443.25 and 5,750.61

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Solution

The fourth proportional to 10,466.32, 14,443.25 and 5,750.61 is: 7,935.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,466.32 : 14,443.25 = 5,750.61 : x
  2. Step 2: Convert to fraction form
    10,466.32/14,443.25 = 5,750.61/x
  3. Step 3: Cross multiply
    10,466.32x = 14,443.25 × 5,750.61
  4. Step 4: Simplify right side
    10,466.32x = 83,057,469.13
  5. Step 5: Solve for x
    x = 83,057,469.13/10,466.32
  6. Step 6: Final answer
    x = 7,935.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.